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245693664 = 2532853103
BaseRepresentation
bin11101010010011…
…11110011100000
3122010022112100100
432221033303200
51000344144124
640214022400
76042235026
oct1651176340
9563275310
10245693664
11116762317
126a347a00
133bb95588
14248b8716
15168831c9
hexea4fce0

245693664 has 36 divisors (see below), whose sum is σ = 698692176. Its totient is φ = 81897792.

The previous prime is 245693647. The next prime is 245693671. The reversal of 245693664 is 466396542.

245693664 is a `hidden beast` number, since 24 + 569 + 3 + 6 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 426264 + ... + 426839.

It is an arithmetic number, because the mean of its divisors is an integer number (19408116).

Almost surely, 2245693664 is an apocalyptic number.

245693664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

245693664 is an abundant number, since it is smaller than the sum of its proper divisors (452998512).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

245693664 is a wasteful number, since it uses less digits than its factorization.

245693664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 853119 (or 853108 counting only the distinct ones).

The product of its digits is 933120, while the sum is 45.

The square root of 245693664 is about 15674.6184642562. The cubic root of 245693664 is about 626.3224597334.

The spelling of 245693664 in words is "two hundred forty-five million, six hundred ninety-three thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 853103 1706206 2559309 3412412 5118618 6824824 7677927 10237236 13649648 15355854 20474472 27299296 30711708 40948944 61423416 81897888 122846832 245693664